Solve 22/56+5/2+3/7

$$\frac { 22 } { 56 } + \frac { 5 } { 2 } + \frac { 3 } { 7 }$$

Evaluate

$$\frac{93}{28}\approx 3.321428571$$

Solution Steps

Reduce the fraction \frac{22}{56} to lowest terms by extracting and canceling out 2.

$$\frac{11}{28}+\frac{5}{2}+\frac{3}{7}$$

Least common multiple of 28 and 2 is 28. Convert \frac{11}{28} and \frac{5}{2} to fractions with denominator 28.

$$\frac{11}{28}+\frac{70}{28}+\frac{3}{7}$$

Since \frac{11}{28} and \frac{70}{28} have the same denominator, add them by adding their numerators.

$$\frac{11+70}{28}+\frac{3}{7}$$

Add 11 and 70 to get 81.

$$\frac{81}{28}+\frac{3}{7}$$

Least common multiple of 28 and 7 is 28. Convert \frac{81}{28} and \frac{3}{7} to fractions with denominator 28.

$$\frac{81}{28}+\frac{12}{28}$$

Since \frac{81}{28} and \frac{12}{28} have the same denominator, add them by adding their numerators.

$$\frac{81+12}{28}$$

Add 81 and 12 to get 93.

$$\frac{93}{28}$$

Factor

$$\frac{3 \cdot 31}{2 ^ {2} \cdot 7} = 3\frac{9}{28} = 3.3214285714285716$$